The difference between successive discounts o | vedclass

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(D) Let the marked price $(M.P.)$ be $x$.For the first case,successive discounts of $40\%$ and $30\%$:Effective discount $= 40 + 30 - \frac{40 	imes

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(D) Let the marked price $(M.P.)$ be $x$.For the first case,successive discounts of $40\%$ and $30\%$:Effective discount $= 40 + 30 - \frac{40 	imes 30}{100} = 70 - 12 = 58\%$.Selling price $(S.P._1)$ $= (100 - 58)\% 	ext{ of } x = 0.42x$.For the second case,successive discounts of $45\%$ and $20\%$:Effective discount $= 45 + 20 - \frac{45 	imes 20}{100} = 65 - 9 = 56\%$.Selling price $(S.P._2)$ $= (100 - 56)\% 	ext{ of } x = 0.44x$.The difference between the selling prices is given as $Rs. 12$:$0.44x - 0.42x = 12$$0.02x = 12$$x = \frac{12}{0.02} = 600$.Thus,the marked price of the article is $Rs. 600$.

The difference between successive discounts of $40\%$ followed by $30\%$ and $45\%$ followed by $20\%$ on the marked price of an article is $Rs. 12$. The marked price of the article is (in $Rs.$)

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